Acta Seismologica Sinica

, Volume 13, Issue 5, pp 525–535 | Cite as

Theoretical analysis of the spatio-temporal evolution of the bulk-strain field based on a rheologic inclusion model

  • Song Zhi-ping 
  • Yin Xiang-chu 
  • Mei Shi-rong 


Based on the theoretical expression of the three-dimension rheologic inclusion model, we analyze in detail the spatio-temporal changes on the ground of the bulk-strain produced by a spherical rheologic inclusion in a semi-infinite rheologic medium. The results show that the spatio-temporal change of bulk-strain produced by the hard inclusion has three stages of different characteristics, which are similar to most of those geodetic deformation curves, but those by a soft inclusion do not. The α-stage is a long stage in which the precursors in both the near source region and the far field develop from the focal region to the periphery. The β-stage indicates a very rapid propagation of the precursors, so that they almost appear everywhere. During the γ-stage, the precursors in the far-field converge from the periphery, and the precursors in the near source region develop outwards. The theoretical results have been used to explain tentatively the stage characteristics of the spatio-temporal change of earthquake precursors.

Key words

elastic inclusion theory rheologic inclusion model strong body earthquake generating model earthquake precursor 

CLC number



Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Aki K, Richards P G. 1980. Quantitative Seismology: Theory and Methods [M]. San Francisco: W. H. Freeman, 50–57.Google Scholar
  2. Brady BT. 1974. Theory of earthquake [J]. Pure Appl Geophys, 112(4): 701–725.CrossRefGoogle Scholar
  3. Dobrovolskii I P. 1991. Theory on the preparation of tectonic earthquakes [M]. Moscow: Ivz. An SSSR, 1–218 (in Russian).Google Scholar
  4. Eshelby J D. 1957. The determination of the elastic field of an ellipsoidal inclusion and related problem [A]. Proceedings of the Royal Society [C]. A241: 376–396.CrossRefGoogle Scholar
  5. FENG De-yi. 1983. Three-stage development process of earthquake precursors: observation and theory [J]. Journal of Seismological Research, 6(2): 211–226 (in Chinese).Google Scholar
  6. Kasahara K. 1979. Migration of crust deformation [J]. Tectonophysics, 52: 329–341.CrossRefGoogle Scholar
  7. LI Xuan-hu. 1981. Phenomena of diffusion and contraction of water-radon precursors [J]. Earthquake, (5): 340–357 (in Chinese).Google Scholar
  8. MEI Shi-rong. 1994. A study on the physical model of earthquake precursor field and the mechanism of precursors’ time-space distribution — origin and evidences of the strong body earthquake-generating model [J]. Acta Seismologica Sinica, 7(3): 273–282.Google Scholar
  9. MEI Shi-rong, Zhu Yue-qing. 1992. Earthquake-generating Model of the Tangshan Earthquake [M]. Beijing: Seismological Press, 30–41 (in Chinese).Google Scholar
  10. MEI Shi-rong, FENG De-yi, ZHANG Guo-min, et al. 1993. Introduction to Earthquake Prediction in China [M]. Beijing: Seismological Press, 241–263 (in Chinese).Google Scholar
  11. Mesherikov J A. 1968. Recent Crust movements in seismic region: Geodetic and geomorphic data [J]. Tectonophysics, 6: 29–39.CrossRefGoogle Scholar
  12. SONG Zhi-ping. 1996. On the Spatial Temporal Evolution of the Load/Unload Response Ratio (LURR) and Other Earthquake Precursors and Their Implications [D]. [Ph D. Thesis]. Beijing: Institute of Geophysics, China Seismological Bureau, 15–110 (in Chinese).Google Scholar
  13. WANG Xin-hua. 1984. Fault extending before the main rupture and geo-electricity precursors [J]. Scientia Sinica (Series B), (11): 988–998 (in Chinese).Google Scholar
  14. WANG Xin-hua, BAI Wu-ming, TENG Chun-kai. 1989. A study on rheological mechanics of seismogenic process [A]. In: Editorial Board of Acta Geophysica Sinica eds. Geophysics in China in the Eighties — In commemoration of the 80th Birthday of Professor Fu Cheng-yi [C]. Beijing: Science Books and Periodicals Press, 217–230 (in Chinese).Google Scholar
  15. WANG Ren. 1979. Base of Solid Mechanics [M]. Beijing: Geological Press, 1–90 (in Chinese)Google Scholar
  16. YIN Xiang-chu, ZHENG Tian-yu. 1982. Rheological model of earthquake generating process [J]. Scientia Sinica (Series B), (10): 922–930 (in Chinese).Google Scholar
  17. Fujii Yoichiro. 1974. Relationship between duration time of anomalous vertical deformation of the crust and magnitude before the occurrence of an earthquake [J]. Earthquake, 27(3): 197–213 (in Japanese).Google Scholar
  18. ZHANG Guo-min. 1987. Application of rock Rheologic model to earthquake-generating process and precursors [J]. Acta Seismologica Sinica, 9(4): 384–391 (in Chinese).Google Scholar
  19. ZHENG Zhi-zhen. 1979. On generation process of the Tangshan earthquake basing on water-level filtered data [J]. Acta Geophysica Sinica, 22(3): 267–280 (in Chinese).Google Scholar

Copyright information

© Acta Seismologica Sinica 2000

Authors and Affiliations

  • Song Zhi-ping 
    • 1
  • Yin Xiang-chu 
    • 2
  • Mei Shi-rong 
    • 2
  1. 1.Beijing Seismological BureauBeijingChina
  2. 2.Center for Analysis and PredictionChina Seismological BureauBeijingChina

Personalised recommendations